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Finding the Fourth Proportional to 276.80, 413.02 and 270.59

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Solution

The fourth proportional to 276.80, 413.02 and 270.59 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 413.02 = 270.59 : x
  2. Step 2: Convert to fraction form
    276.80/413.02 = 270.59/x
  3. Step 3: Cross multiply
    276.80x = 413.02 × 270.59
  4. Step 4: Simplify right side
    276.80x = 111,759.08
  5. Step 5: Solve for x
    x = 111,759.08/276.80
  6. Step 6: Final answer
    x = 403.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.